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Finding the Fourth Proportional to 314,593.20, 434,123.28 and 178,609.32

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Solution

The fourth proportional to 314,593.20, 434,123.28 and 178,609.32 is: 246,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,593.20 : 434,123.28 = 178,609.32 : x
  2. Step 2: Convert to fraction form
    314,593.20/434,123.28 = 178,609.32/x
  3. Step 3: Cross multiply
    314,593.20x = 434,123.28 × 178,609.32
  4. Step 4: Simplify right side
    314,593.20x = 77,538,463,836.97
  5. Step 5: Solve for x
    x = 77,538,463,836.97/314,593.20
  6. Step 6: Final answer
    x = 246,472.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.